Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
10x2−100x
Evaluate
(x×10)(x−10)
Remove the parentheses
x×10(x−10)
Use the commutative property to reorder the terms
10x(x−10)
Apply the distributive property
10x×x−10x×10
Multiply the terms
10x2−10x×10
Solution
10x2−100x
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Find the roots
x1=0,x2=10
Evaluate
(x×10)(x−10)
To find the roots of the expression,set the expression equal to 0
(x×10)(x−10)=0
Use the commutative property to reorder the terms
10x(x−10)=0
Elimination the left coefficient
x(x−10)=0
Separate the equation into 2 possible cases
x=0x−10=0
Solve the equation
More Steps
Evaluate
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=0x=10
Solution
x1=0,x2=10
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